Capacitance of a capacitor is given by:
A. <span class="math-tex">\({\rm{C}} = \frac{{{{\rm{\varepsilon }}_0}{\varepsilon _r}d}}{A}\)</span>
B. <span class="math-tex">\(C = \frac{{\mu A}}{d}\)</span>
C. <span class="math-tex">\(C = \frac{A}{d}\)</span>
D. <span class="math-tex">\({\rm{C}} = \frac{{{{\rm{\varepsilon }}_0}{\varepsilon _r}A}}{d}\)</span>
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Right Answer is: D
SOLUTION
Parallel plate capacitor:
Parallel plate capacitors are the type of capacitors that have an arrangement of electrodes and insulating material (dielectric). The two conducting plates act as electrodes. There is a dielectric between them. This acts as a separator for the plates.
The capacitance for a parallel plate capacitor is given by
\(C = \frac{{A\epsilon}}{d}\)
Where ϵ = ϵ0ϵr
ϵ0 = permittivity of vacuum
ϵr = relative permittivity
A = area of the plate
d = gap between the plate